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Finding the Third Proportional to 103,697 and 223,934

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Solution

The third proportional to 103,697 and 223,934 is: 483,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697 : 223,934 = 223,934 : x
  2. Step 2: Convert to fraction form
    103,697/223,934 = 223,934/x
  3. Step 3: Cross multiply
    103,697x = 223,934 × 223,934
  4. Step 4: Simplify right side
    103,697x = 50,146,436,356
  5. Step 5: Solve for x
    x = 50,146,436,356/103,697
  6. Step 6: Final answer
    x = 483,586.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.